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• W1970231550 abstract "We make some remarks about rank-one convex and polyconvex functions on the set of all real n × n matrices that vanish on the subset K n consisting of all conformal matrices and grow like a power function at infinity. We prove that every non-negative rank-one convex function that vanishes on K n and grows below a power of degree n /2 must vanish identically. In odd dimensions n ≧ 3, we prove that every non-negative polyconvex function that vanishes on K n must vanish identically if it grows below a power of degree n ; while in even dimensions, such polyconvex functions can exist that also grow like a power of half-dimension degree." @default.
• W1970231550 created "2016-06-24" @default.
• W1970231550 creator A5001030325 @default.
• W1970231550 date "1997-01-01" @default.
• W1970231550 modified "2023-10-16" @default.
• W1970231550 title "On rank-one convex and polyconvex conformal energy functions with slow growth" @default.
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• W1970231550 doi "https://doi.org/10.1017/s0308210500029954" @default.
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